Select the outlier in the data set.6,64,84,85,87,89,91,96If the outlier were removed from the data set, would the mean increase or decrease?Choices:(A)increase(B)decrease
Q. Select the outlier in the data set.6,64,84,85,87,89,91,96If the outlier were removed from the data set, would the mean increase or decrease?Choices:(A)increase(B)decrease
Calculate Mean: Calculate the mean of the data set: (6+64+84+85+87+89+91+96)/8=75.25
Identify Outlier: Identify the outlier by comparing each data point to the mean. The number 6 is significantly lower than the mean and other data points.
Calculate Mean Without Outlier: Calculate the mean without the outlier: (64+84+85+87+89+91+96)/7=85.14
Compare Means: Compare the two means: The original mean is 75.25, and the new mean without the outlier is 85.14. Since 85.14 is greater than 75.25, removing the outlier increases the mean.
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